4 citations · 4 across the 4 of their papers we have counts for
4 papers
Longest weakly increasing subsequences of discrete random walks on the integers with heavy tailed distribution of increments
José Ricardo G. Mendonça, Marcelo V. Freire
We investigate the behavior of the length of the longest weakly increasing subsequences (weak LIS) of -step random walks with nonzero integer increments $k = \pm 1, \pm 2, \dots…
Self-similar resistive circuits as fractal-like structures
Claudio Xavier Mendes dos Santos, Carlos Molina Mendes, Marcelo Ventura Freire
In the present work we explore resistive circuits where the individual resistors are arranged in fractal-like patterns. These circuits have some of the characteristics typically fo…
Application of moderate deviation techniques to prove Sinai's Theorem on RWRE
Marcelo Ventura Freire
We apply the techniques developed in Comets and Popov (2003) to present a new proof to Sinai's theorem (Sinai, 1982) on one-dimensional random walk in random environment (RWRE), wo…
Percolation for the stable marriage of Poisson and Lebesgue
Marcelo Ventura Freire, Serguei Popov, Marina Vachkovskaia
Let be the set of points (we call the elements of centers) of Poisson process in , , with unit intensity. Consider the allocation of to which is s…